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What is the Least Common Multiple of 56799 and 56812?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 56799 and 56812 is 3226864788.

LCM(56799,56812) = 3226864788

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Least Common Multiple of 56799 and 56812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56799 and 56812, than apply into the LCM equation.

GCF(56799,56812) = 1
LCM(56799,56812) = ( 56799 × 56812) / 1
LCM(56799,56812) = 3226864788 / 1
LCM(56799,56812) = 3226864788

Least Common Multiple (LCM) of 56799 and 56812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56799 and 56812. First we will calculate the prime factors of 56799 and 56812.

Prime Factorization of 56799

Prime factors of 56799 are 3, 6311. Prime factorization of 56799 in exponential form is:

56799 = 32 × 63111

Prime Factorization of 56812

Prime factors of 56812 are 2, 7, 2029. Prime factorization of 56812 in exponential form is:

56812 = 22 × 71 × 20291

Now multiplying the highest exponent prime factors to calculate the LCM of 56799 and 56812.

LCM(56799,56812) = 32 × 63111 × 22 × 71 × 20291
LCM(56799,56812) = 3226864788